3250790400 has 672 divisors, whose sum is σ = 12969044928. Its totient is φ = 707788800.

The previous prime is 3250790393. The next prime is 3250790401. The reversal of 3250790400 is 40970523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250790401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87859182 + ... + 87859218.

It is an arithmetic number, because the mean of its divisors is an integer number (19299174).

Almost surely, 2^3250790400 is an apocalyptic number.

3250790400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3250790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484522464).

3250790400 is an abundant number, since it is smaller than the sum of its proper divisors (9718254528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3250790400 is a wasteful number, since it uses less digits than its factorization.

3250790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3250790400 is about 57015.7031001109. The cubic root of 3250790400 is about 1481.3681043112.

The spelling of 3250790400 in words is "three billion, two hundred fifty million, seven hundred ninety thousand, four hundred".